Sampling in Unitary Invariant Subspaces Associated to LCA Groups

被引：7

作者：

Garcia, A. G. ^{[1
]}

Hernandez-Medina, M. A. ^{[2
]}

Perez-Villalon, G. ^{[3
]}

机构：

[1] Univ Carlos III Madrid, Dept Matemat, Avda Univ 30, Leganes 28911, Spain

[2] Univ Politecn Madrid, Dept Matemat Aplicada Tecnol Informac & Comunicac, ETSIT, Informat Proc & Telecommun Ctr, Avda Complutense 30, E-28040 Madrid, Spain

[3] Univ Politecn Madrid, Dept Matemat Aplicada Tecnol Informac, Avda Complutense 30, E-28040 Madrid, Spain

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 04期

关键词：

LCA groups; unitary representation of a LCA group; unitary-invariant subspaces; frames; dual frames; sampling expansions; SHIFT-INVARIANT; FRAMES; RECONSTRUCTION; THEOREM; SPACES;

D O I：

10.1007/s00025-017-0727-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a sampling theory for unitary invariant subspaces associated to locally compact abelian (LCA) groups is deduced. Working in the LCA group context allows to obtain, in a unified way, sampling results valid for a wide range of problems which are interesting in practice, avoiding also cumbersome notation. Along with LCA groups theory, the involved mathematical technique is that of frame theory which meets matrix analysis when appropriate dual frames are computed.

引用

页码：1725 / 1745

页数：21

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